MATHEMATICS HIGH SCHOOL

1. A)Aflati latimea unui teren, forma dreptunghi, exprimat in metri, daca lungimea lui este de 0,8 km, iar aria este egala cu 800 ari b)aflati lungimea gardului din jurul terenului, de la punctul a 2.Un bazin are forma de cuboid cu lungimea de 5,5 m, latimea 32 dm si inaltimea 3m a)cate placi de teracota sunt necesare pentru a pava fundul bazinului, daca placile de teracota sunt pastrate cu lungimea de 20 cm? b)Cati metri cubi de apa incap in bazin?

Answers

Answer 1

Answer:

Answer:

$\large \boxed{\text{1. a) 100 m; b) 1.8 km; 2. a) 400 tiles; b) 48 m}^(3)}$

Step-by-step explanation:

Q1.

a) Width of field

The formula for the area of a rectangle is

A = lw

Data

A = 800 a

l = 0.8 km

Calculations

(i) Convert all measurements to metres

A = 800 a × 100 m²/a = 80 000 m²

l = 0.8 km × 1000 m/1 km = 800 m

(ii) Calculate the width

$\begin{array}{rcl}A & = & lw\n80000 & = & 800w\nw & = & (80000)/(800)\n\n& = & \textbf{100 m}\n\end{array}\n\text{The width of the field is $\large \boxed{\textbf{100 m}}$}$

b) Perimeter of field

The formula for the perimeter of a rectangle is

$\begin{array}{rcl}P & = & 2(l + w)\n& = &2(800 + 100)\n& = & 2(900)\n& = & \text{1800 m}\n& = & \textbf{1.8 km}\n\end{array}\n\text{The length of the fence around the field is $\large \boxed{\textbf{1.8 km}}$}$

Q2.

a) Number of tiles

Data:

l = 5 m

w = 32 dm

h = 3 m

Tile edge = 20 cm

(i) Convert all measurements to metres

w = 32 dm × (1 m/10 dm) = 3.2 m

Tile edge = 20 cm × (1 m/100 cm) = 0.20 m

(ii) Area of pool bottom

$\begin{array}{rcl}A& = & 5* 3.2\n& = & \textbf{16 m}^(2)\n\end{array}$

(iii) Area of one tile

$\begin{array}{rcl}A & = & s^(2)\n & = & 0.20^(2)\n& = & \textbf{0.04 m}^{\mathbf{2}}\n\end{array}$

(iv) Number of tiles

$\text{No. of tiles } = \text{16 m }^(2) * \frac{\text{1 tile}}{\text{0.04 m}^(2)} = \textbf{400 tiles}\n\text{It will take $\large \boxed{\textbf{400}}$ tiles to cover the bottom of the pool.}$

b) Volume of pool

The formula for the volume of a rectangular prism is\begin{array}{rcl}

$\begin{array}{rcl}V & = & lwh\n& = &5 * 3.2 * 3\n& = & \textbf{48 m}^(3)\n\end{array}\n\text{The volume of the pool is $\large \boxed{\textbf{48 m}^{\mathbf{3}}}$}$

Related Questions

Eddie is single and receives his pay biweekly. His annual salary as a tailor for Whyte and Broom is $21350
Please help me! I don’t understand these problems
Calculate measure of angle E B A , given a measure of arc D A equals 88 degrees and m measure of arc E F A equals 178 degrees =178º. The figure is not drawn to scale.
Nan rode the roller coaster 8 times which was twice as many times as she rode the ferris wheel
What is 2.2 as an improper fraction

what is the least number that must be added to 2000so that the sum is devided exactly by 10,12,16 and 18

Answers

Answer:

Number must be added = 160

Step-by-step explanation:

First we need to find LCM of 10,12,16 and 18.

LCM of 10,12,16 and 18 = 720

Let us write the multiplication table of 720

720, 1440, 2160, 2880 .................

We need to find the least number that must be added to 2000 so that the sum is divided exactly by 10,12,16 and 18 .

The number greater than 2000 is 2160.

Difference = 2160 - 2000 = 160

Number must be added = 160

10 = 2.5 ; 12 = 2².3 ; 126 = 2^4 ; 18 = 2.3²
the least common multiple is 2^4.5.3 = 240
then we have (2000 + x) = 240.k
2000 = 240.8 + 80 and 240.9 = 2160
then x = 160

4⋅(tg(π−x)+ctg(π−x)+ctg(3π2−x))/ctg(π−x)

Answers

$tan( \pi -x)=-tan(x) \n cot( \pi -x)= -cot(x) \n cot( (3 \pi )/(2) -x)=tan(x) \n \n \n (tan( \pi -x)+cot( \pi -x)+cot( (3 \pi )/(2) -x))/(cot( \pi -x)) = (-tan(x)-cot(x)+tan(x))/(-cot(x)) = (-cot(x))/(-cot(x)) =1$

Here is a sequence of shapes made from squares and circles.The sequence continues in the same way.

The formula for the number of circles (c) in shape number (n) is

C = 3n - 1

Use the formula to work out the shape number which has 104 circles.This is the graph:N 1 2 3 4C 2 5 8 11S 3 5 7 9

Answers

The shape number is 35 which has 104 circles if the sequence of shapes is made from squares and circles.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The formula for the number of circles (c) in shape number (n) is:

C = 3n - 1

Plug C = 104

104 = 3n - 1

105 = 3n

n = 105/3 = 35

Thus, the shape number is 35 which has 104 circles if the sequence of shapes is made from squares and circles.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

The number of circles you need, 104, is C. Substituting 104 in for C gives...
$104 = 3n - 1$
$105 = 3n$
Dividing both sides by 3 gives you...
$n = 35$

There are three questions, and three choices of answers (A,B and C) for each question. Given that only one of the possible choices (A,B and C) is correct for each question, state the probability that the student guesses:Q1: 1 correct answer. Q2: 2 correct answer
Q3: 3 correct answer. Q4: 0 correct answer

Please use tree diagram to explain.

Answers

q2—_-___-_-__—-__-_-_-___—-__-__—-__-_

Solve the system of equationsy=2x^2-3
y=3x-1
A. no solutions
B.(-1/2,5)(2-5/2)
C.(-1/2,-5/2)(2,5)
D.(1/2,5/2)(2,5)

Answers

Dhere, we go by the same exact principle, but the terms are not a,b,c.

Running at their respective constant rates, Machine X takes 2 days longer to produce w widgets than Machine Y. At these rates, if the two machines together produce 5 4 w widgets in 3 days, how many days would it take Machine X alone to produce 2w widgets.A. 4B. 6C. 8D. 10E. 12

Answers

C. Hope this helps :)

Other Questions

PLEASE PLS PLS PLS PLS PLS PLS PLS HURRY

Solve; 6/7 - 3/14 = what?

What is 56 written as a decimal?

What is negative five plus ten?